(2x-7)-(7-z)-2z=0

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Solution for (2x-7)-(7-z)-2z=0 equation:


Simplifying
(2x + -7) + -1(7 + -1z) + -2z = 0

Reorder the terms:
(-7 + 2x) + -1(7 + -1z) + -2z = 0

Remove parenthesis around (-7 + 2x)
-7 + 2x + -1(7 + -1z) + -2z = 0
-7 + 2x + (7 * -1 + -1z * -1) + -2z = 0
-7 + 2x + (-7 + 1z) + -2z = 0

Reorder the terms:
-7 + -7 + 2x + 1z + -2z = 0

Combine like terms: -7 + -7 = -14
-14 + 2x + 1z + -2z = 0

Combine like terms: 1z + -2z = -1z
-14 + 2x + -1z = 0

Solving
-14 + 2x + -1z = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '14' to each side of the equation.
-14 + 2x + 14 + -1z = 0 + 14

Reorder the terms:
-14 + 14 + 2x + -1z = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 2x + -1z = 0 + 14
2x + -1z = 0 + 14

Combine like terms: 0 + 14 = 14
2x + -1z = 14

Add 'z' to each side of the equation.
2x + -1z + z = 14 + z

Combine like terms: -1z + z = 0
2x + 0 = 14 + z
2x = 14 + z

Divide each side by '2'.
x = 7 + 0.5z

Simplifying
x = 7 + 0.5z

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